1451263461440 has 168 divisors, whose sum is σ = 3777090134400. Its totient is φ = 530841053184.

The previous prime is 1451263461413. The next prime is 1451263461469. The reversal of 1451263461440 is 441643621541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5661161 + ... + 5911959.

Almost surely, 2^{1451263461440} is an apocalyptic number.

1451263461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451263461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888545067200).

1451263461440 is an abundant number, since it is smaller than the sum of its proper divisors (2325826672960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1451263461440 is a wasteful number, since it uses less digits than its factorization.

1451263461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250949 (or 250926 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 1451263461440 in words is "one trillion, four hundred fifty-one billion, two hundred sixty-three million, four hundred sixty-one thousand, four hundred forty".